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Lilit [14]
2 years ago
7

Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)​

Mathematics
1 answer:
shepuryov [24]2 years ago
7 0

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

1.5 = b

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Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal
Veronika [31]

Answer:

a) 3.128

b) Yes, it is an outerlier

Step-by-step explanation:

The standardized z-score for a particular sample can be determined via the following expression:

z_i = {x_i -\bar x}/{s}

Where;

\bar x = sample means

s = sample standard deviation

Given data:

the mean shipment thickness (\bar x) = 0.2731 mm

With the standardized deviation (s) = 0.000959 mm

The standardized z-score for a certain shipment with a diameter x_i= 0.2761 mm can be determined via the following previous expression

z_i = {x_i -\bar x}/{s}

z_i = {0.2761-0.2731}/{ 0.000959}

z_i = 3.128

b)

From the standardized z-score

If [z_i < 2]; it typically implies that the data is unusual

If [z_i > 2]; it means that the data value is an outerlier

However, since our z_i > 3 (I.e it is 3.128), we conclude that it is an outerlier.

6 0
2 years ago
2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s paymen
grigory [225]

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is<u> $396.</u>

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

  • A portion going towards the principal(debt )
  • A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

<em>Find out more at brainly.com/question/12256592. </em>

7 0
2 years ago
As part of a study on facility needs, the administrators of a university wanted to estimate the percent of students who use the
Temka [501]

Answer:

Population is 34000 students

Sample is 770 students

Step-by-step explanation:

Population :In statistics, a population is the entire pool from which a statistical sample is drawn.

Sample: A sample refers to a set of observations drawn from a population.

We are given that 34,000 students attended the university.

Out of which a random sample of 370 male students and 400 female students was selected

So, Total students selected = 370+400=770

So, Population is 34000 students

Sample is 770 students

So, Option C is true.

4 0
3 years ago
The number of people arriving for treatment at an emergency room can be modeled by aPoisson process with a rate parameter of 5/h
saveliy_v [14]

Answer:

(a) The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.

Step-by-step explanation:

(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:

P(X=4)=\frac{\lambda^{X}*e^{-\lambda}  }{X!} =\frac{5^{4}*e^{-5}  }{4!}=\frac{625*0.006737947}{24} =\frac{4.211}{24}=0.1754

The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour can be written as

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))

Using

P(X)=\frac{\lambda^{X}*e^{-\lambda}  }{X!}

We get

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))\\P(X>3)=1-(0.0067+ 0.0337+ 0.0842 + 0.1404 )\\P(X>3)=1-0.2650=0.7350\\

The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is

EV=\lambda*t=5*0.75=3.75

8 0
2 years ago
How do you write the number for 3,152,308
Sergeu [11.5K]

If you mean in word form, then it should be as follows;

Three million one hundred and fifty-two thousand three hundred and eight.

If you don't mean word form, you will have to be a little more specific.

8 0
2 years ago
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